Search a number
-
+
113679936 = 263421929
BaseRepresentation
bin1101100011010…
…01111001000000
321220220112120000
412301221321000
5213100224221
615140320000
72550156246
oct661517100
9256815500
10113679936
1159195467
12320a3000
131a723346
1411152796
159ea7e26
hex6c69e40

113679936 has 70 divisors (see below), whose sum is σ = 336998310. Its totient is φ = 37891584.

The previous prime is 113679931. The next prime is 113679959. The reversal of 113679936 is 639976311.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 129600 = 10656^2 + 360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113679891 and 113679900.

It is not an unprimeable number, because it can be changed into a prime (113679931) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5781 + ... + 16148.

Almost surely, 2113679936 is an apocalyptic number.

113679936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113679936 is an abundant number, since it is smaller than the sum of its proper divisors (223318374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113679936 is an equidigital number, since it uses as much as digits as its factorization.

113679936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21953 (or 21934 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 113679936 is about 10662.0793469192. The cubic root of 113679936 is about 484.4265529091.

The spelling of 113679936 in words is "one hundred thirteen million, six hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 21929 43858 65787 87716 131574 175432 197361 263148 350864 394722 526296 592083 701728 789444 1052592 1184166 1403456 1578888 1776249 2105184 2368332 3157776 3552498 4210368 4736664 6315552 7104996 9473328 12631104 14209992 18946656 28419984 37893312 56839968 113679936